Solitons as truncated asymptotic solutions of completely integrable models |
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Authors: | L Martínez Alonso |
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Affiliation: | Departamento de Métodos Matemáticos de la Física, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain |
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Abstract: | The long time behaviour of solutions of soliton equations is considered. A method for finding the sets of scattering data associated with asymptotic solutions truncated on intervals with freely moving end points is presented. The method is applied to provide a simple proof of the solitonic properties of asymptotic solutions and to characterize the soliton-soliton, soliton-radiation and radiation-radiation collisions. |
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